This Math Challenge Is Confusing People All Over The Internet! 🤯 Can YOU Solve It?

Ajouté : 2026-05-15

[00:00:00]If we have the expression 6 + 75 divided by open parentheses 7 - 4 close parentheses and multiplied by 5 ^ 2, then what is the correct answer of this question?

[00:00:14]Many people when solving this question first go for the addition between 6 and 75 and instead of this expression they write 81 divided by open parentheses 7 - 4 close parentheses and multiplied by 5 ^ 2.

[00:00:33]And in the next step they go for the expression inside the parentheses and write this expression as 81 divided by 3 multiplied by 5 ^ 2.

[00:00:44]Then they go for the division between 81 and 3 and instead of this expression they write 27 multiplied by 5 ^ 2.

[00:00:54]In the final step they go to the exponent and instead of this expression they write 27 multiplied by 25 which finally gives them the answer 675.

[00:01:07]However, this answer is actually incorrect.

[00:01:11]Also, some other people when solving this question first go for the expression inside the parentheses because they believe parentheses have a higher priority than the other operations. So, instead of this expression they write 6 + 75 divided by 3 multiplied by 5 ^ 2.

[00:01:33]And in the next step they go for the exponent and instead of this expression they write 6 + 75 divided by 3 multiplied by 25.

[00:01:46]Then they go for the multiplication between 3 and 25 because they think multiplication has priority over division.

[00:01:55]So, instead of this equation, they write 6 + 75 / 75.

[00:02:04]In the final step, they go for the division between 75 and 75 because they believe division has a higher priority than addition. So, they rewrite this equation as 6 + 1, which finally gives them the answer 7.

[00:02:20]But, this answer is absolutely wrong.

[00:02:24]All right. Now, let me show you how to solve this equation properly.

[00:02:29]To solve this question, we must follow a rule that is called PEMDAS. In this rule, P stands for parentheses, E stands for exponent, M stands for multiplication, D stands for division, A stands for addition, and S stands for subtraction.

[00:02:47]As you can see on this screen, in this equation, first we have an addition sign, then a division sign, followed by a parenthesis, then a multiplication, and finally exponent.

[00:03:00]According to the PEMDAS rule, first we go for the parenthesis because parenthesis have the highest priority than the other operations.

[00:03:09]So, instead of this equation, we can write 6 + 75 / 3 * 5 ^ 2.

[00:03:19]In the next step, we go for the exponent because in the PEMDAS rule, after parenthesis, exponent has a higher priority than the other operations.

[00:03:29]So, we rewrite this equation as 6 + 75 / 3 * 25.

[00:03:38]Then, we move on to the division and multiplication because these two operations have a higher priority than addition.

[00:03:46]However, we must pay close attention that multiplication and division have equal precedence, and we must perform these two operations from left to right.

[00:03:56]So, first you go for the division between 75 and 3 and instead of this expression, we can write 6 + 25 multiplied by 25.

[00:04:09]In the final step, we go for the multiplication between 25 and 25 because multiplication has priority over addition.

[00:04:18]So, we rewrite this equation as 6 + 625 which finally gives us the answer 631.

[00:04:28]Okay, let's solve another math question together.

[00:04:32]What is the value of the expression 4 ^ 2 + (5 - 3) and multiplied by (6 - 3) inside the parentheses?

[00:04:45]Many people when solving this question first go for the exponent and instead of this expression, they write 16 + and multiplied by (6 - 3) inside the parentheses. And instead of this expression, they write 16 + 2 multiplied by (6 - In the next step, they go for the expression inside the first parentheses and instead of this expression, they write 16 + 2 multiplied by (6 - 3) and multiplied by (6 - Then, they go for the addition between 16 and 2 and write this equation as 18 multiplied by (6 - 3) and multiplied by (6 - Then, they go for the expression inside the parentheses and instead of this expression, they write 18 multiplied by 3 which finally gives them the answer 54.

[00:05:43]However, that's definitely wrong.

[00:05:46]To solve this question, we must follow a rule that is called PEMDAS. As you can see on this screen, in this expression, first we have an exponent, then an addition sign, followed by parentheses, then a multiplication, and finally another parentheses.

[00:06:03]According to the PEMDAS rule, first we go for the parentheses because parentheses, or P, have the highest priority than the other operations.

[00:06:12]So, instead of this expression, we can write 4 ^ 2 + 2 * 3.

[00:06:21]In the next step, we go for the exponent because in the PEMDAS rule, after parentheses, exponent has the highest priority than the other operations.

[00:06:31]So, we rewrite this expression as 16 + 2 * 3.

[00:06:37]In the final step, we go for the multiplication between 2 and 3 because multiplication has a higher priority than addition.

[00:06:46]So, we rewrite this expression as 16 + 6, which finally gives us the answer 22.

[00:06:53]All right.

[00:06:54]All right. Now, let's solve the final math question together.

[00:06:58]What is the value of the expression 3 ^ 2 + 2 * open parentheses 6 / 3 * 2 close parentheses?

[00:07:09]Many people, when solving this question, first go for the exponent and instead of this expression, they write 9 + 2 * open parentheses 6 / 3 * 2 close parentheses.

[00:07:25]In the next step, they go for the addition between 9 and 2 and write this expression as 11 * open parentheses 6 / 3 * 2 close parentheses.

[00:07:40]Then, they go for the expression inside the parentheses and they start with the division between six and three. So, instead of this expression, they write 11 multiplied by open parentheses two times two, close parentheses.

[00:07:56]In the final step, they go for the multiplication between two and two and write this equation as 11 multiplied by four, which finally gives them the answer 44.

[00:08:09]However, this answer is absolutely wrong.

[00:08:13]Also, some other people when solving this question, first go for the expression inside of parentheses and they start with the multiplication between three and two because they think multiplication has priority over division.

[00:08:27]So, instead of this expression, they write three squared plus two multiplied by open parentheses six divided by six, close parentheses.

[00:08:39]And in the next step, they go for the division between six and six and instead of this expression, they write three squared plus two multiplied by one.

[00:08:50]Then, they go for the exponent and write this equation as nine plus two multiplied by one.

[00:08:58]In the final step, they go for the multiplication between two and one because they think multiplication has priority over addition.

[00:09:07]So, instead of this expression, they write nine plus two, which finally gives them the answer 11.

[00:09:15]However, it's not the correct answer to this question.

[00:09:19]To solve this question, we must follow the order of operations step by step from top to bottom.

[00:09:25]As you can see on the screen, in this expression, first we have an exponent, then an addition sign followed by a multiplication, and finally parentheses.

[00:09:35]According to the PEMDAS rule, first you go for the parentheses because parentheses have the highest priority than the other operations.

[00:09:44]And inside the parentheses, we have one division sign followed by a multiplication sign.

[00:09:50]It's very important to note that multiplication and division are at the same level of precedence, and we must perform these two operations from left to right.

[00:10:00]So, first we go for the division between 6 and 3. And instead of this expression, we can write 3 as squared plus 2 multiplied by open parenthesis 2 * 2 close parenthesis.

[00:10:15]Then, we go for the multiplication between 2 and 2. And instead of this expression, we can write 3 as squared plus 2 multiplied by 4.

[00:10:27]Then, we go for the exponent because in the PEMDAS rule, after parenthesis, exponent has the highest priority than the other operations.

[00:10:36]So, we rewrite this expression as 9 plus 2 multiplied by 4.

[00:10:42]In the final step, we go for the multiplication between 2 and 4 because multiplication has a higher priority than addition. So, we rewrite this expression as 9 plus 8, which finally gives us the answer 17.